Lie Algebras: Their Construction and an Open Problem

Amaury Minino - 10/11/19

Abstract: Lie algebras arise from vector space with an additional operation, called the Lie bracket. A well known example is R^3, where the Lie bracket is the cross product. In this talk we will learn about the construction of a Lie algebra, as well as different examples of Lie algebras. We will then discuss the problem of determining Kostant's weight multiplicity formula, which is used to determine the subspaces of a given Lie algebra.